{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FLGK4VUMAFRVZD26CZ2A6X4IHG","short_pith_number":"pith:FLGK4VUM","canonical_record":{"source":{"id":"1204.0661","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-04-03T11:32:28Z","cross_cats_sorted":[],"title_canon_sha256":"b1d307d6b9072f5845bf660a637daf79ebfde93ac9f92cb6e2f66bbe9f48a438","abstract_canon_sha256":"f3dbe124e388e0839344ce092a26f695d569d97c04c0c0ea9a2a75515c0b62e3"},"schema_version":"1.0"},"canonical_sha256":"2accae568c01635c8f5e16740f5f8839990525a819503d018afb3bfdcd79f413","source":{"kind":"arxiv","id":"1204.0661","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0661","created_at":"2026-05-18T03:58:38Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0661v1","created_at":"2026-05-18T03:58:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0661","created_at":"2026-05-18T03:58:38Z"},{"alias_kind":"pith_short_12","alias_value":"FLGK4VUMAFRV","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FLGK4VUMAFRVZD26","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FLGK4VUM","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FLGK4VUMAFRVZD26CZ2A6X4IHG","target":"record","payload":{"canonical_record":{"source":{"id":"1204.0661","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-04-03T11:32:28Z","cross_cats_sorted":[],"title_canon_sha256":"b1d307d6b9072f5845bf660a637daf79ebfde93ac9f92cb6e2f66bbe9f48a438","abstract_canon_sha256":"f3dbe124e388e0839344ce092a26f695d569d97c04c0c0ea9a2a75515c0b62e3"},"schema_version":"1.0"},"canonical_sha256":"2accae568c01635c8f5e16740f5f8839990525a819503d018afb3bfdcd79f413","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:38.839810Z","signature_b64":"EDgxELmM2blbfI/MNpQ47SP4W93HKKkVREvchLMhH3qi7Jw2LEKc1CsQ8dSzqkzGgrqckcyMhVcVrS62sXhKAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2accae568c01635c8f5e16740f5f8839990525a819503d018afb3bfdcd79f413","last_reissued_at":"2026-05-18T03:58:38.839068Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:38.839068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.0661","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1P+dOc4btx8abFVJgG79QYwHD6xBhQR/S0xcuwLrAEEs9iy2nfzmaszntXMUDWXm0fp4nLFr1iNsiwlc09SLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T10:03:14.027669Z"},"content_sha256":"28f95a194e31b0e36dab46fd4c10ff52faa4fccb50897c8c7e0935714df03bee","schema_version":"1.0","event_id":"sha256:28f95a194e31b0e36dab46fd4c10ff52faa4fccb50897c8c7e0935714df03bee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FLGK4VUMAFRVZD26CZ2A6X4IHG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An introduction to multi-player, multi-choice quantum games","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hoshang Heydari, Puya Sharif","submitted_at":"2012-04-03T11:32:28Z","abstract_excerpt":"We give a self contained introduction to a few quantum game protocols, starting with the quantum version of the two-player two-choice game of Prisoners dilemma, followed by a n-player generalization trough the quantum minority games, and finishing with a contribution towards a n-player m-choice generalization with a quantum version of a three-player Kolkata restaurant problem. We have omitted some technical details accompanying these protocols, and instead laid the focus on presenting some general aspects of the field as a whole. This review contains an introduction to the formalism of quantum"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0661","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mkkIMGwwgsezzYSUzkEDjs553gz67TzXZbmvLC9jzL9t7mP05UZYZWaLOtPamLURbBK47ymoNZIsaYFliojPAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T10:03:14.028025Z"},"content_sha256":"6717e234fb9cd5860ed118036a6e2a36220d62254dc26332e8ae10eabd153697","schema_version":"1.0","event_id":"sha256:6717e234fb9cd5860ed118036a6e2a36220d62254dc26332e8ae10eabd153697"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FLGK4VUMAFRVZD26CZ2A6X4IHG/bundle.json","state_url":"https://pith.science/pith/FLGK4VUMAFRVZD26CZ2A6X4IHG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FLGK4VUMAFRVZD26CZ2A6X4IHG/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T10:03:14Z","links":{"resolver":"https://pith.science/pith/FLGK4VUMAFRVZD26CZ2A6X4IHG","bundle":"https://pith.science/pith/FLGK4VUMAFRVZD26CZ2A6X4IHG/bundle.json","state":"https://pith.science/pith/FLGK4VUMAFRVZD26CZ2A6X4IHG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FLGK4VUMAFRVZD26CZ2A6X4IHG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FLGK4VUMAFRVZD26CZ2A6X4IHG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f3dbe124e388e0839344ce092a26f695d569d97c04c0c0ea9a2a75515c0b62e3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-04-03T11:32:28Z","title_canon_sha256":"b1d307d6b9072f5845bf660a637daf79ebfde93ac9f92cb6e2f66bbe9f48a438"},"schema_version":"1.0","source":{"id":"1204.0661","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0661","created_at":"2026-05-18T03:58:38Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0661v1","created_at":"2026-05-18T03:58:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0661","created_at":"2026-05-18T03:58:38Z"},{"alias_kind":"pith_short_12","alias_value":"FLGK4VUMAFRV","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FLGK4VUMAFRVZD26","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FLGK4VUM","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:6717e234fb9cd5860ed118036a6e2a36220d62254dc26332e8ae10eabd153697","target":"graph","created_at":"2026-05-18T03:58:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We give a self contained introduction to a few quantum game protocols, starting with the quantum version of the two-player two-choice game of Prisoners dilemma, followed by a n-player generalization trough the quantum minority games, and finishing with a contribution towards a n-player m-choice generalization with a quantum version of a three-player Kolkata restaurant problem. We have omitted some technical details accompanying these protocols, and instead laid the focus on presenting some general aspects of the field as a whole. This review contains an introduction to the formalism of quantum","authors_text":"Hoshang Heydari, Puya Sharif","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-04-03T11:32:28Z","title":"An introduction to multi-player, multi-choice quantum games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0661","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:28f95a194e31b0e36dab46fd4c10ff52faa4fccb50897c8c7e0935714df03bee","target":"record","created_at":"2026-05-18T03:58:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f3dbe124e388e0839344ce092a26f695d569d97c04c0c0ea9a2a75515c0b62e3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2012-04-03T11:32:28Z","title_canon_sha256":"b1d307d6b9072f5845bf660a637daf79ebfde93ac9f92cb6e2f66bbe9f48a438"},"schema_version":"1.0","source":{"id":"1204.0661","kind":"arxiv","version":1}},"canonical_sha256":"2accae568c01635c8f5e16740f5f8839990525a819503d018afb3bfdcd79f413","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2accae568c01635c8f5e16740f5f8839990525a819503d018afb3bfdcd79f413","first_computed_at":"2026-05-18T03:58:38.839068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:38.839068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EDgxELmM2blbfI/MNpQ47SP4W93HKKkVREvchLMhH3qi7Jw2LEKc1CsQ8dSzqkzGgrqckcyMhVcVrS62sXhKAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:38.839810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0661","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28f95a194e31b0e36dab46fd4c10ff52faa4fccb50897c8c7e0935714df03bee","sha256:6717e234fb9cd5860ed118036a6e2a36220d62254dc26332e8ae10eabd153697"],"state_sha256":"c1ac99254a2512446c804806a170a4c3e619dd5c736e29d6c2647e54f2cbe063"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wdhD76qUT9Gh3IYATBE1NkNz2C651uxAC4/SHlox2iOIxk3AnFY3i8au1sUAKc/Y741zBDtHulLhtUxm66wQCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T10:03:14.029989Z","bundle_sha256":"84d759df5ff1231b3626e1687bae93fece69760c9a05a63d8c7e121e47fe7739"}}